Search

This paper introduces and studies a new discrete distribution with one parameter that expands the Poisson model, discrete weighted Poisson Lerch transcendental (DWPLT) distribution. Its mathematical and statistical structure showed that some of the basic characteristics and features of the DWPLT model include probability mass function, the hazard rate function for single and double components, moments with auxiliary statistical measures (expectation, variance, index of dispersion, skewness, kurtosis, negative moments), conditional expectation, Lorenz function, and order statistics, which were derived as closed forms. DWPLT distribution can be used as a flexible statistical approach to analyze and discuss real asymmetric leptokurtic data. Moreover, it could be applied to a hyperdispersive data model. Two different estimation methods were derived, i.e., maximal likelihood and the moments technique for the DWPLT parameter, and some advanced numerical methods were utilized for the estimation process. A simulation was performed to examine and analyze the performance of the DWPLT estimator on the basis of the criteria of the bias and mean squared errors. The flexibility and fit ability of the proposed distribution is demonstrated via the clinical application of a real dataset. The DWPLT model was more flexible and worked well for modeling real age data when compared to other competitive age distributions in the statistical literature.

Kronološka dob u gimnastici je prvi kriterij kategoriziranja vježbača za natjecanja, a na isti se nadalje nadovezuje razina znanja odnosno tehnička pripremljenost. Sukladno ovim kriterijima, gimnastičari i gimnastičarke natječu u određenim programima i kategorijama. Cilj ovog rada bio je utvrditi kronološku dob hrvatskih gimnastičara i analizirati utjecaj pozicioniranosti datuma rođenja na sam proces selekcije, a zatim i na uspješnost natjecatelja na različitim razinama natjecanja. Uzorak ispitanika predstavljalo je ukupno 192 gimnastičar i 651 gimnastičarka koji su u 2019. godini natjecali na službenim natjecanjima Republike Hrvatske u sportskoj gimnastici. Chi-kvadrat testovima analizirane su razlike u frekvencijama datuma rođenja u određenim grupama definiraim natjecateljskim kategorijama i razinom uspješnosti na natjecanjima. Utvrđenim rezultatima nije potvrđena prisutnost efekta relativne dobi (RAE) kako na selekciju tako ni na uspješnost natjecatelja na različitim razinama nacionalnih natjecanja. Zaključeno je, kako je trenažni proces ipak najvažniji prediktora uspjeha u sportskoj gimnastici., Chronological age in Artistic Gymnastics is the first criterion for athletes categorization, and the level of knowledge respectively technical preparedness is further added to the same. In accordance with these criteria, gymnasts compete in certain programs and categories. The aim of this paper was to determine the chronological age of Croatian gymnasts and to analyze the impact of the position of the date of birth on the selection process itself, and then on the performance of competitors at different levels of the competitions. The sample of respondents was represented by a total of 192 male gymnasts and 651 female gymnasts who competed in the official competitions of the Republic of Croatia in artistic gymnastics in 2019. Chi-squared tests analyzed differences in birth date frequencies in certain groups defined by competitive categories and level of success in competitions. The established results did not confirm the presence of the relative age effect (RAE) on both selection and the performance of competitors at different levels of national competitions. It was concluded that the training process is nevertheless the most important predictor of success in Artistic Gymnastics.

International audience; In this paper, we consider admixture models which are two-component mixture distributions having one known component. This is the case when a gold standard reference component is well known, and when a population contains such a component plus another one with different features. When two populations are drawn from such models, we propose a penalized chi2-type testing procedure allowing a pairwise comparison of the unknown components, i.e. to test the equality of their residual features densities, under a symmetry condition. A numerical study is carried out from a large range of simulation setups to illustrate the asymptotic properties of our test. Moreover the testing procedure is applied on a real-world case: galaxy velocities datasets, where stars heliocentric velocities mixed with the Milky Way are compared.